Home
Class 14
MATHS
In the adjoining figure D, E and F are t...

In the adjoining figure D, E and F are the mid - points of the sides BC, AC and AB respectively to triangle. Show that ∠EDF=∠A, ∠DEF=∠B and ∠DFE=∠C:

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 12.3|28 Videos

  • GEOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 12.4|10 Videos

  • GEOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 12.1|45 Videos

  • FUNDAMENTALS

    ARIHANT SSC|Exercise TEST OF YOU - LEARNING - 2|40 Videos

  • HCF AND LCM

    ARIHANT SSC|Exercise Exercise Higher Skill Level Questions|18 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure D, E and F are the mid-points of the sides BC, AC and AB respectively. triangle DEF is congruent to triangle :

D, E and F are the mid-points of the sides BC, CA and AB of a triangle ABC. Show that BDEF is a parallelogram

In the adjoining figure D, E and F are the mid-points of the sides BC, CA and AB respectively of Delta ABC . Prove that: (i) square BDEF is a parallelogram (ii) area of Delta DEF = (1)/(4) xx " area of " Delta ABC (iii) area of square BDEF = (1)/(2) xx " area of " Delta ABC

In the adjoining figure D, E and F are the mid-points of the sides BC, CA and AB of the equilateral DeltaABC. Prove that DeltaDEF is also an equilateral triangle.

If D,E,F are the mid points of the side BC,CA and AB respectively of a triangle ABC,write the value of vec AD+vec BE+vec CF

In the adjoining figure , we have X and Y are the mid - point of AC and BC and AX = CY . Show that AC =BC.

In the adjoning figure, D and E are the points on the sides AB and AC respectively of Delta ABC and area of Delta BCE = " area of " Delta BCD . Prove that DE ||BC

ARIHANT SSC-GEOMETRY-INTRODUCTORY EXERCISE - 12.2
  1. If AB, BC and AC be the three sides of a triangle ABC, then which one ...

    Text Solution

    |

  2. In the triangle ABC, side BC is produced to D. angleACD=100^(@) if BC ...

    Text Solution

    |

  3. In the adjoining figure D, E and F are the mid - points of the sides B...

    Text Solution

    |

  4. In the adjoining figure angleBAC=60^(@) and BC = a, AC = b and AB = c,...

    Text Solution

    |

  5. In the adjoining figure of DeltaABC, angleBCA=120^(@) and AB = c, BC =...

    Text Solution

    |

  6. In a right angled DeltaABC, angleC=90^(@) and CD is the perpendicular ...

    Text Solution

    |

  7. If the medians of a triangle are equal, then the triangle is

    Text Solution

    |

  8. The incentre of a triangle is determined by the :

    Text Solution

    |

  9. The circumcentre of a triangle is determined by the :

    Text Solution

    |

  10. The point of intersection of the angle bisectors of a triangle is :

    Text Solution

    |

  11. The diagonal of the square field measures 50m. The area of square fiel...

    Text Solution

    |

  12. If in a DeltaABC,'S' is the circumcentre then :

    Text Solution

    |

  13. If AD, BE, CF are the altitudes of DeltaABC whose orthocentre is H, th...

    Text Solution

    |

  14. In a right angled DeltaABC, angleC=90^(@) and CD is the perpendicular ...

    Text Solution

    |

  15. In an equilateral triangle ABC, if a, b and c denote the lengths of pe...

    Text Solution

    |

  16. What is the ratio of side to the height of an equilateral triangle?

    Text Solution

    |

  17. The triangle is formed by joining the mid point of the sides AB, BC an...

    Text Solution

    |

  18. One side other than the hypotenuse of right angle isosceles triangle i...

    Text Solution

    |

  19. Any two of the four triangles formed by joining the mid - points of th...

    Text Solution

    |

  20. The internal bisectors of angleB and angleC of DeltaABC meet at O. If ...

    Text Solution

    |